Pith Number

pith:25355SYR

pith:2018:25355SYRJR6CAH5MVHUS3UT25S

not attested not anchored not stored refs pending

Intrinsic formulation of KKT conditions and constraint qualifications on smooth manifolds

Roland Herzog, Ronny Bergmann

arxiv:1804.06214 v2 · 2018-04-17 · math.NA · cs.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{25355SYRJR6CAH5MVHUS3UT25S}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-06-04T19:11:48.228949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d777decb114c7c201faca9e92dd27aecb07eecc73ab28bc191b494864395f714

Aliases

arxiv: 1804.06214 · arxiv_version: 1804.06214v2 · doi: 10.48550/arxiv.1804.06214 · pith_short_12: 25355SYRJR6C · pith_short_16: 25355SYRJR6CAH5M · pith_short_8: 25355SYR

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/25355SYRJR6CAH5MVHUS3UT25S \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d777decb114c7c201faca9e92dd27aecb07eecc73ab28bc191b494864395f714

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f24c08d3388f80f3deecdbe3b8f4a0e9f2390c8d0eecaffde102a65bb0450cc3",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-04-17T13:08:33Z",
    "title_canon_sha256": "d66dce4041c455da8659f30f8eef36f62acce20e241f36ba51c6afcc8cbe4364"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.06214",
    "kind": "arxiv",
    "version": 2
  }
}